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2008038478 abstract "Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised. A valuable book for any reader interested in learning more about combinatorics.".
2008038478 contributor B11117358.
2008038478 created "c2010.".
2008038478 date "2010".
2008038478 date "c2010.".
2008038478 dateCopyrighted "c2010.".
2008038478 description "1. What is Combinatorics? --- 2. The Pigeonhole Principle --- 3. Permutations and Combinations --- 4. Generating Permutations and Combinations --- 5. The Binomial Coefficients --- 6. The Inclusion-Exclusion Principle and Applications --- 7. Recurrence Relations and Generating Functions --- 8. Special Counting Sequences --- 9. Systems of Distinct Representatives --- 10. Combinatorial Designs --- 11. Introduction to Graph Theory --- 12. More on Graph Theory --- 13. Digraphs and Networks --- 14. Pólya Counting.".
2008038478 description "Includes bibliographical references (p. 596-597) and index.".
2008038478 description "Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised. A valuable book for any reader interested in learning more about combinatorics.".
2008038478 extent "xii, 605 p. :".
2008038478 identifier "0136020402 (hbk. : alk. paper)".
2008038478 identifier "9780136020400 (hbk. : alk. paper)".
2008038478 identifier 2008038478.html.
2008038478 issued "2010".
2008038478 issued "c2010.".
2008038478 language "eng".
2008038478 publisher "Upper Saddle River, N.J. : Pearson/Prentice Hall,".
2008038478 subject "511/.6 22".
2008038478 subject "Combinatorial analysis Textbooks.".
2008038478 subject "Computer science Mathematics.".
2008038478 subject "QA164 .B76 2010".
2008038478 tableOfContents "1. What is Combinatorics? --- 2. The Pigeonhole Principle --- 3. Permutations and Combinations --- 4. Generating Permutations and Combinations --- 5. The Binomial Coefficients --- 6. The Inclusion-Exclusion Principle and Applications --- 7. Recurrence Relations and Generating Functions --- 8. Special Counting Sequences --- 9. Systems of Distinct Representatives --- 10. Combinatorial Designs --- 11. Introduction to Graph Theory --- 12. More on Graph Theory --- 13. Digraphs and Networks --- 14. Pólya Counting.".
2008038478 title "Introductory combinatorics / Richard A. Brualdi.".
2008038478 type "text".